The generator matrix

 1  1  1  1  2  1  1  4  0
 0  2  0  2  4  6  8  2  4
 0  0  2  2  2  6  0  6  2
 0  0  0  4  0  8  4  4  4

generates a code of length 9 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+106x^6+256x^7+989x^8+1408x^9+968x^10+256x^11+106x^12+6x^14

The gray image is a code over GF(2) with n=72, k=12 and d=24.
This code was found by Heurico 1.16 in 0.314 seconds.